34988824809 has 9 divisors (see below), whose sum is σ = 50540224189. Its totient is φ = 23325509100.

The previous prime is 34988824799. The next prime is 34988824813. The reversal of 34988824809 is 90842888943.

The square root of 34988824809 is 187053.

It is a perfect power (a square), and thus also a powerful number.

34988824809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34988824809 - 2¹³ = 34988816617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34988824859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 529984 + ... + 592334.

Almost surely, 2^34988824809 is an apocalyptic number.

34988824809 is the 187053-rd square number.

34988824809 is the 93527-th centered octagonal number.

It is an amenable number.

34988824809 is a deficient number, since it is larger than the sum of its proper divisors (15551399380).

34988824809 is an frugal number, since it uses more digits than its factorization.

34988824809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124708 (or 62354 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 34988824809 in words is "thirty-four billion, nine hundred eighty-eight million, eight hundred twenty-four thousand, eight hundred nine".